| 1 | /// -*- mode: asm; asm-comment-char: ?/ -*- |
| 2 | /// |
| 3 | /// GCM acceleration for x86 processors |
| 4 | /// |
| 5 | /// (c) 2018 Straylight/Edgeware |
| 6 | /// |
| 7 | |
| 8 | ///----- Licensing notice --------------------------------------------------- |
| 9 | /// |
| 10 | /// This file is part of Catacomb. |
| 11 | /// |
| 12 | /// Catacomb is free software: you can redistribute it and/or modify it |
| 13 | /// under the terms of the GNU Library General Public License as published |
| 14 | /// by the Free Software Foundation; either version 2 of the License, or |
| 15 | /// (at your option) any later version. |
| 16 | /// |
| 17 | /// Catacomb is distributed in the hope that it will be useful, but |
| 18 | /// WITHOUT ANY WARRANTY; without even the implied warranty of |
| 19 | /// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
| 20 | /// Library General Public License for more details. |
| 21 | /// |
| 22 | /// You should have received a copy of the GNU Library General Public |
| 23 | /// License along with Catacomb. If not, write to the Free Software |
| 24 | /// Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, |
| 25 | /// USA. |
| 26 | |
| 27 | ///-------------------------------------------------------------------------- |
| 28 | /// Preliminaries. |
| 29 | |
| 30 | #include "config.h" |
| 31 | #include "asm-common.h" |
| 32 | |
| 33 | .arch .pclmul |
| 34 | |
| 35 | .text |
| 36 | |
| 37 | ///-------------------------------------------------------------------------- |
| 38 | /// Common register allocation. |
| 39 | |
| 40 | #if CPUFAM_X86 |
| 41 | # define A eax |
| 42 | # define K edx |
| 43 | #elif CPUFAM_AMD64 && ABI_SYSV |
| 44 | # define A rdi |
| 45 | # define K rsi |
| 46 | #elif CPUFAM_AMD64 && ABI_WIN |
| 47 | # define A rcx |
| 48 | # define K rdx |
| 49 | #endif |
| 50 | |
| 51 | ///-------------------------------------------------------------------------- |
| 52 | /// Multiplication macros. |
| 53 | |
| 54 | // The good news is that we have a fancy instruction to do the |
| 55 | // multiplications. The bad news is that it's not particularly well- |
| 56 | // suited to the job. |
| 57 | // |
| 58 | // For one thing, it only does a 64-bit multiplication, so in general |
| 59 | // we'll need to synthesize the full-width multiply by hand. For |
| 60 | // another thing, it doesn't help with the reduction, so we have to |
| 61 | // do that by hand too. And, finally, GCM has crazy bit ordering, |
| 62 | // and the instruction does nothing useful for that at all. |
| 63 | // |
| 64 | // Focusing on that last problem first: the bits aren't in monotonic |
| 65 | // significance order unless we permute them. If we reverse the byte |
| 66 | // order, then we'll have the bits in monotonic order, but backwards, |
| 67 | // so the degree-0 coefficient will be in the most-significant bit. |
| 68 | // |
| 69 | // This is less of a difficulty than it seems at first, because |
| 70 | // algebra. Suppose we are given u = SUM_{0<=i<n} u_i t^i and v = |
| 71 | // SUM_{0<=j<n} v_j t^j; then |
| 72 | // |
| 73 | // u v = SUM_{0<=i,j<n} u_i v_j t^{i+j} |
| 74 | // |
| 75 | // Suppose instead that we're given ũ = SUM_{0<=i<n} u_{n-i-1} t^i |
| 76 | // and ṽ = SUM_{0<=j<n} v_{n-j-1} t^j, so the bits are backwards. |
| 77 | // Then |
| 78 | // |
| 79 | // ũ ṽ = SUM_{0<=i,j<n} u_{n-i-1} v_{n-j-1} t^{i+j} |
| 80 | // = SUM_{0<=i,j<n} u_i v_j t^{2n-2-(i+j)} |
| 81 | // |
| 82 | // which is almost the bit-reversal of u v, only it's shifted right |
| 83 | // by one place. Oh, well: we'll have to shift it back later. |
| 84 | // |
| 85 | // That was important to think about, but there's not a great deal to |
| 86 | // do about it yet other than to convert what we've got from the |
| 87 | // blockcipher's byte-ordering convention to our big-endian |
| 88 | // convention. Since this depends on the blockcipher convention, |
| 89 | // we'll leave the caller to cope with this: the macros here will |
| 90 | // assume that the operands are in `register' format, which is the |
| 91 | // byte-reversal of the external representation, padded at the |
| 92 | // most-significant end except for 96-bit blocks, which are |
| 93 | // zero-padded at the least-significant end (see `mul96' for the |
| 94 | // details). In the commentary, pieces of polynomial are numbered |
| 95 | // according to the degree of the coefficients, so the unit |
| 96 | // coefficient of some polynomial a is in a_0. |
| 97 | // |
| 98 | // The commentary for `mul128' is the most detailed. The other |
| 99 | // macros assume that you've already read and understood that. |
| 100 | |
| 101 | .macro mul128 |
| 102 | // Enter with u and v in xmm0 and xmm1 respectively; leave with z = |
| 103 | // u v in xmm0. Clobbers xmm1--xmm4. |
| 104 | |
| 105 | // First for the double-precision multiplication. It's tempting to |
| 106 | // use Karatsuba's identity here, but I suspect that loses more in |
| 107 | // the shifting, bit-twiddling, and dependency chains that it gains |
| 108 | // in saving a multiplication which otherwise pipelines well. |
| 109 | // xmm0 = // (u_1; u_0) |
| 110 | // xmm1 = // (v_1; v_0) |
| 111 | movdqa xmm2, xmm1 // (v_1; v_0) again |
| 112 | movdqa xmm3, xmm0 // (u_1; u_0) again |
| 113 | movdqa xmm4, xmm0 // (u_1; u_0) yet again |
| 114 | pclmulhqlqdq xmm2, xmm0 // u_1 v_0 |
| 115 | pclmullqlqdq xmm0, xmm1 // u_1 v_1 |
| 116 | pclmulhqlqdq xmm3, xmm1 // u_0 v_1 |
| 117 | pclmulhqhqdq xmm4, xmm1 // u_0 v_0 |
| 118 | |
| 119 | // Arrange the pieces to form a double-precision polynomial. |
| 120 | pxor xmm2, xmm3 // (m_1; m_0) = u_1 v_0 + u_0 v_1 |
| 121 | movdqa xmm1, xmm2 // (m_1; m_0) again |
| 122 | pslldq xmm2, 8 // (0; m_1) |
| 123 | psrldq xmm1, 8 // (m_0; 0) |
| 124 | pxor xmm0, xmm2 // x_1 = u_1 v_1 + m_1 |
| 125 | pxor xmm1, xmm4 // x_0 = u_0 v_0 + t^64 m_0 |
| 126 | |
| 127 | // Two problems remain. The first is that this product is shifted |
| 128 | // left (from GCM's backwards perspective) by one place, which is |
| 129 | // annoying. Let's take care of that now. Once this is done, we'll |
| 130 | // be properly in GCM's backwards bit-ordering, so xmm1 will hold the |
| 131 | // low half of the product and xmm0 the high half. (The following |
| 132 | // diagrams show bit 0 consistently on the right.) |
| 133 | // |
| 134 | // xmm1 |
| 135 | // ,-------------.-------------.-------------.-------------. |
| 136 | // | 0 x_0-x_30 | x_31-x_62 | x_63-x_94 | x_95-x_126 | |
| 137 | // `-------------^-------------^-------------^-------------' |
| 138 | // |
| 139 | // xmm0 |
| 140 | // ,-------------.-------------.-------------.-------------. |
| 141 | // | x_127-x_158 | x_159-x_190 | x_191-x_222 | x_223-x_254 | |
| 142 | // `-------------^-------------^-------------^-------------' |
| 143 | // |
| 144 | // We start by shifting each 32-bit lane right (from GCM's point of |
| 145 | // view -- physically, left) by one place, which gives us this: |
| 146 | // |
| 147 | // low (xmm3) |
| 148 | // ,-------------.-------------.-------------.-------------. |
| 149 | // | x_0-x_30 0 | x_32-x_62 0 | x_64-x_94 0 | x_96-x_126 0| |
| 150 | // `-------------^-------------^-------------^-------------' |
| 151 | // |
| 152 | // high (xmm2) |
| 153 | // ,-------------.-------------.-------------.-------------. |
| 154 | // |x_128-x_158 0|x_160-x_190 0|x_192-x_222 0|x_224-x_254 0| |
| 155 | // `-------------^-------------^-------------^-------------' |
| 156 | // |
| 157 | // but we've lost a bunch of bits. We separately shift each lane |
| 158 | // left by 31 places to give us the bits we lost. |
| 159 | // |
| 160 | // low (xmm1) |
| 161 | // ,-------------.-------------.-------------.-------------. |
| 162 | // | 0...0 | 0...0 x_31 | 0...0 x_63 | 0...0 x_95 | |
| 163 | // `-------------^-------------^-------------^-------------' |
| 164 | // |
| 165 | // high (xmm0) |
| 166 | // ,-------------.-------------.-------------.-------------. |
| 167 | // | 0...0 x_127 | 0...0 x_159 | 0...0 x_191 | 0...0 x_223 | |
| 168 | // `-------------^-------------^-------------^-------------' |
| 169 | // |
| 170 | // Which is close, but we don't get a cigar yet. To get the missing |
| 171 | // bits into position, we shift each of these right by a lane, but, |
| 172 | // alas, the x_127 falls off, so, separately, we shift the high |
| 173 | // register left by three lanes, so that everything is lined up |
| 174 | // properly when we OR them all together: |
| 175 | // |
| 176 | // low (xmm1) |
| 177 | // ,-------------.-------------.-------------.-------------. |
| 178 | // ? 0...0 x_31 | 0...0 x_63 | 0...0 x_95 | 0...0 | |
| 179 | // `-------------^-------------^-------------^-------------' |
| 180 | // |
| 181 | // wrap (xmm4) |
| 182 | // ,-------------.-------------.-------------.-------------. |
| 183 | // | 0...0 | 0...0 | 0...0 | 0...0 x_127 | |
| 184 | // `-------------^-------------^-------------^-------------' |
| 185 | // |
| 186 | // high (xmm0) |
| 187 | // ,-------------.-------------.-------------.-------------. |
| 188 | // | 0...0 x_159 | 0...0 x_191 | 0...0 x_223 | 0...0 | |
| 189 | // `-------------^-------------^-------------^-------------' |
| 190 | // |
| 191 | // The `low' and `wrap' registers (xmm1, xmm3, xmm4) then collect the |
| 192 | // low 128 coefficients, while the `high' registers (xmm0, xmm2) |
| 193 | // collect the high 127 registers, leaving a zero bit at the most |
| 194 | // significant end as we expect. |
| 195 | |
| 196 | // xmm0 = // (x_7, x_6; x_5, x_4) |
| 197 | // xmm1 = // (x_3, x_2; x_1, x_0) |
| 198 | movdqa xmm3, xmm1 // (x_3, x_2; x_1, x_0) again |
| 199 | movdqa xmm2, xmm0 // (x_7, x_6; x_5, x_4) again |
| 200 | psrld xmm1, 31 // shifted left; just the carries |
| 201 | psrld xmm0, 31 |
| 202 | pslld xmm3, 1 // shifted right, but dropped carries |
| 203 | pslld xmm2, 1 |
| 204 | movdqa xmm4, xmm0 // another copy for the carry around |
| 205 | pslldq xmm1, 4 // move carries over |
| 206 | pslldq xmm0, 4 |
| 207 | psrldq xmm4, 12 // the big carry wraps around |
| 208 | por xmm1, xmm3 |
| 209 | por xmm0, xmm2 // (y_7, y_6; y_5, y_4) |
| 210 | por xmm1, xmm4 // (y_3, y_2; y_1, y_0) |
| 211 | |
| 212 | // And the other problem is that the result needs to be reduced |
| 213 | // modulo p(t) = t^128 + t^7 + t^2 + t + 1. Let R = t^128 = t^7 + |
| 214 | // t^2 + t + 1 in our field. So far, we've calculated z_0 and z_1 |
| 215 | // such that z_0 + z_1 R = u v using the identity R = t^128: now we |
| 216 | // must collapse the two halves of z together using the other |
| 217 | // identity R = t^7 + t^2 + t + 1. |
| 218 | // |
| 219 | // We do this by working on each 32-bit word of the high half of z |
| 220 | // separately, so consider y_i, for some 4 <= i < 8. Certainly, y_i |
| 221 | // t^{32i} = y_i R t^{32(i-4)} = (t^7 + t^2 + t + 1) y_i t^{32(i-4)}, |
| 222 | // but we can't use that directly without breaking up the 32-bit word |
| 223 | // structure. Instead, we start by considering just y_i t^7 |
| 224 | // t^{32(i-4)}, which again looks tricky. Now, split y_i = a_i + |
| 225 | // t^25 b_i, with deg a_i < 25; then |
| 226 | // |
| 227 | // y_i t^7 t^{32(i-4)} = a_i t^7 t^{32(i-4)} + b_i t^{32(i-3)} |
| 228 | // |
| 229 | // We can similarly decompose y_i t^2 and y_i t into a pair of 32-bit |
| 230 | // contributions to the t^{32(i-4)} and t^{32(i-3)} words, but the |
| 231 | // splits are different. This is lovely, with one small snag: when |
| 232 | // we do this to y_7, we end up with a contribution back into the |
| 233 | // t^128 coefficient word. But notice that only the low seven bits |
| 234 | // of this word are affected, so there's no knock-on contribution |
| 235 | // into the t^32 word. Therefore, if we handle the high bits of each |
| 236 | // word together, and then the low bits, everything will be fine. |
| 237 | |
| 238 | // First, shift the high bits down. |
| 239 | movdqa xmm2, xmm0 // (y_7, y_6; y_5, y_4) again |
| 240 | movdqa xmm3, xmm0 // (y_7, y_6; y_5, y_4) yet again |
| 241 | movdqa xmm4, xmm0 // (y_7, y_6; y_5, y_4) again again |
| 242 | pslld xmm2, 31 // the b_i for t |
| 243 | pslld xmm3, 30 // the b_i for t^2 |
| 244 | pslld xmm4, 25 // the b_i for t^7 |
| 245 | pxor xmm2, xmm3 // add them all together |
| 246 | pxor xmm2, xmm4 |
| 247 | movdqa xmm3, xmm2 // and a copy for later |
| 248 | psrldq xmm2, 4 // contribution into low half |
| 249 | pslldq xmm3, 12 // and high half |
| 250 | pxor xmm1, xmm2 |
| 251 | pxor xmm0, xmm3 |
| 252 | |
| 253 | // And then shift the low bits up. |
| 254 | movdqa xmm2, xmm0 |
| 255 | movdqa xmm3, xmm0 |
| 256 | pxor xmm1, xmm0 // mix in the unit contribution |
| 257 | psrld xmm0, 1 |
| 258 | psrld xmm2, 2 |
| 259 | psrld xmm3, 7 |
| 260 | pxor xmm1, xmm2 // low half, unit, and t^2 contribs |
| 261 | pxor xmm0, xmm3 // t and t^7 contribs |
| 262 | pxor xmm0, xmm1 // mix them together and we're done |
| 263 | .endm |
| 264 | |
| 265 | .macro mul64 |
| 266 | // Enter with u and v in the low halves of xmm0 and xmm1 |
| 267 | // respectively; leave with z = u v in xmm0. Clobbers xmm1--xmm4. |
| 268 | |
| 269 | // The multiplication is thankfully easy. |
| 270 | pclmullqlqdq xmm0, xmm1 // u v |
| 271 | |
| 272 | // Shift the product up by one place. After this, we're in GCM |
| 273 | // bizarro-world. |
| 274 | movdqa xmm1, xmm0 // u v again |
| 275 | psrld xmm0, 31 // shifted left; just the carries |
| 276 | pslld xmm1, 1 // shifted right, but dropped carries |
| 277 | pslldq xmm0, 4 // move carries over |
| 278 | por xmm1, xmm0 // (y_3, y_2; y_1, y_0) |
| 279 | |
| 280 | // Now we must reduce. This is essentially the same as the 128-bit |
| 281 | // case above, but mostly simpler because everything is smaller. The |
| 282 | // polynomial this time is p(t) = t^64 + t^4 + t^3 + t + 1. |
| 283 | |
| 284 | // First, we must detach the top (`low'!) half of the result. |
| 285 | movdqa xmm0, xmm1 // (y_3, y_2; y_1, y_0) again |
| 286 | psrldq xmm1, 8 // (y_1, y_0; 0, 0) |
| 287 | |
| 288 | // Next, shift the high bits down. |
| 289 | movdqa xmm2, xmm0 // (y_3, y_2; ?, ?) again |
| 290 | movdqa xmm3, xmm0 // (y_3, y_2; ?, ?) yet again |
| 291 | movdqa xmm4, xmm0 // (y_3, y_2; ?, ?) again again |
| 292 | pslld xmm2, 31 // b_i for t |
| 293 | pslld xmm3, 29 // b_i for t^3 |
| 294 | pslld xmm4, 28 // b_i for t^4 |
| 295 | pxor xmm2, xmm3 // add them all together |
| 296 | pxor xmm2, xmm4 |
| 297 | movdqa xmm3, xmm2 // and a copy for later |
| 298 | movq xmm2, xmm2 // zap high half |
| 299 | pslldq xmm3, 4 // contribution into high half |
| 300 | psrldq xmm2, 4 // and low half |
| 301 | pxor xmm0, xmm3 |
| 302 | pxor xmm1, xmm2 |
| 303 | |
| 304 | // And then shift the low bits up. |
| 305 | movdqa xmm2, xmm0 |
| 306 | movdqa xmm3, xmm0 |
| 307 | pxor xmm1, xmm0 // mix in the unit contribution |
| 308 | psrld xmm0, 1 |
| 309 | psrld xmm2, 3 |
| 310 | psrld xmm3, 4 |
| 311 | pxor xmm1, xmm2 // low half, unit, and t^3 contribs |
| 312 | pxor xmm0, xmm3 // t and t^4 contribs |
| 313 | pxor xmm0, xmm1 // mix them together and we're done |
| 314 | .endm |
| 315 | |
| 316 | .macro mul96 |
| 317 | // Enter with u and v in the /high/ three words of xmm0 and xmm1 |
| 318 | // respectively (and zero in the low word); leave with z = u v in the |
| 319 | // high three words of xmm0, and /junk/ in the low word. Clobbers |
| 320 | // xmm1--xmm4. |
| 321 | |
| 322 | // This is an inconvenient size. There's nothing for it but to do |
| 323 | // four multiplications, as if for the 128-bit case. It's possible |
| 324 | // that there's cruft in the top 32 bits of the input registers, so |
| 325 | // shift both of them up by four bytes before we start. This will |
| 326 | // mean that the high 64 bits of the result (from GCM's viewpoint) |
| 327 | // will be zero. |
| 328 | // xmm0 = // (0, u_2; u_1, u_0) |
| 329 | // xmm1 = // (0, v_2; v_1, v_0) |
| 330 | movdqa xmm2, xmm1 // (0, v_2; v_1, v_0) again |
| 331 | movdqa xmm3, xmm0 // (0, u_2; u_1, u_0) again |
| 332 | movdqa xmm4, xmm0 // (0, u_2; u_1, u_0) yet again |
| 333 | pclmulhqlqdq xmm2, xmm0 // u_2 (v_1 t^32 + v_0) = e_0 |
| 334 | pclmullqlqdq xmm0, xmm1 // u_2 v_2 = d = (0; d) |
| 335 | pclmulhqlqdq xmm3, xmm1 // v_2 (u_1 t^32 + u_0) = e_1 |
| 336 | pclmulhqhqdq xmm4, xmm1 // u_0 v_0 + (u_1 v_0 + u_0 v_1) t^32 |
| 337 | // + u_1 v_1 t^64 = f |
| 338 | |
| 339 | // Extract the high and low halves of the 192-bit result. We don't |
| 340 | // need be too picky about the unused high words of the result |
| 341 | // registers. The answer we want is d t^128 + e t^64 + f, where e = |
| 342 | // e_0 + e_1. |
| 343 | // |
| 344 | // The place values for the two halves are (t^160, t^128; t^96, ?) |
| 345 | // and (?, t^64; t^32, 1). |
| 346 | psrldq xmm0, 8 // (d; 0) = d t^128 |
| 347 | pxor xmm2, xmm3 // e = (e_0 + e_1) |
| 348 | movdqa xmm1, xmm4 // f again |
| 349 | pxor xmm0, xmm2 // d t^128 + e t^64 |
| 350 | psrldq xmm2, 12 // e[31..0] t^64 |
| 351 | psrldq xmm1, 4 // f[95..0] |
| 352 | pslldq xmm4, 8 // f[127..96] |
| 353 | pxor xmm1, xmm2 // low 96 bits of result |
| 354 | pxor xmm0, xmm4 // high 96 bits of result |
| 355 | |
| 356 | // Next, shift everything one bit to the left to compensate for GCM's |
| 357 | // strange ordering. This will be easier if we shift up the high |
| 358 | // half by a word before we start. After this we're in GCM bizarro- |
| 359 | // world. |
| 360 | movdqa xmm3, xmm1 // low half again |
| 361 | pslldq xmm0, 4 // shift high half |
| 362 | psrld xmm1, 31 // shift low half down: just carries |
| 363 | movdqa xmm2, xmm0 // copy high half |
| 364 | pslld xmm3, 1 // shift low half down: drop carries |
| 365 | psrld xmm0, 31 // shift high half up: just carries |
| 366 | pslld xmm2, 1 // shift high half down: drop carries |
| 367 | movdqa xmm4, xmm0 // copy high carries for carry-around |
| 368 | pslldq xmm0, 4 // shift carries down |
| 369 | pslldq xmm1, 4 |
| 370 | psrldq xmm4, 12 // the big carry wraps around |
| 371 | por xmm1, xmm3 |
| 372 | por xmm0, xmm2 |
| 373 | por xmm1, xmm4 |
| 374 | |
| 375 | // Finally, the reduction. This is essentially the same as the |
| 376 | // 128-bit case, except that the polynomial is p(t) = t^96 + t^10 + |
| 377 | // t^9 + t^6 + 1. The degrees are larger but not enough to cause |
| 378 | // trouble for the general approach. |
| 379 | |
| 380 | // First, shift the high bits down. |
| 381 | movdqa xmm2, xmm0 // copies of the high part |
| 382 | movdqa xmm3, xmm0 |
| 383 | movdqa xmm4, xmm0 |
| 384 | pslld xmm2, 26 // b_i for t^6 |
| 385 | pslld xmm3, 23 // b_i for t^9 |
| 386 | pslld xmm4, 22 // b_i for t^10 |
| 387 | pxor xmm2, xmm3 // add them all together |
| 388 | pslldq xmm1, 4 // shift low part up to match |
| 389 | pxor xmm2, xmm4 |
| 390 | movdqa xmm3, xmm2 // and a copy for later |
| 391 | pslldq xmm2, 8 // contribution to high half |
| 392 | psrldq xmm3, 4 // contribution to low half |
| 393 | pxor xmm1, xmm3 |
| 394 | pxor xmm0, xmm2 |
| 395 | |
| 396 | // And then shift the low bits up. |
| 397 | movdqa xmm2, xmm0 // copies of the high part |
| 398 | movdqa xmm3, xmm0 |
| 399 | pxor xmm1, xmm0 // mix in the unit contribution |
| 400 | psrld xmm0, 6 |
| 401 | psrld xmm2, 9 |
| 402 | psrld xmm3, 10 |
| 403 | pxor xmm1, xmm2 // low half, unit, and t^9 contribs |
| 404 | pxor xmm0, xmm3 // t^6 and t^10 contribs |
| 405 | pxor xmm0, xmm1 // mix them together and we're done |
| 406 | .endm |
| 407 | |
| 408 | .macro mul192 |
| 409 | // Enter with u and v in xmm0/xmm1 and xmm2/xmm3 respectively; leave |
| 410 | // with z = u v in xmm0/xmm1 -- the top halves of the high registers |
| 411 | // are unimportant. Clobbers xmm2--xmm7. |
| 412 | |
| 413 | // Start multiplying and accumulating pieces of product. |
| 414 | // xmm0 = // (u_2; u_1) |
| 415 | // xmm1 = // (u_0; ?) |
| 416 | // xmm2 = // (v_2; v_1) |
| 417 | // xmm3 = // (v_0; ?) |
| 418 | movdqa xmm4, xmm0 // (u_2; u_1) again |
| 419 | movdqa xmm5, xmm0 // (u_2; u_1) yet again |
| 420 | movdqa xmm6, xmm0 // (u_2; u_1) again again |
| 421 | movdqa xmm7, xmm1 // (u_0; ?) again |
| 422 | punpcklqdq xmm1, xmm3 // (u_0; v_0) |
| 423 | pclmulhqhqdq xmm4, xmm2 // u_1 v_1 |
| 424 | pclmullqlqdq xmm3, xmm0 // u_2 v_0 |
| 425 | pclmullqhqdq xmm5, xmm2 // u_2 v_1 |
| 426 | pclmulhqlqdq xmm6, xmm2 // u_1 v_2 |
| 427 | pxor xmm4, xmm3 // u_2 v_0 + u_1 v_1 |
| 428 | pclmullqlqdq xmm7, xmm2 // u_0 v_2 |
| 429 | pxor xmm5, xmm6 // b = u_2 v_1 + u_1 v_2 |
| 430 | movdqa xmm6, xmm0 // (u_2; u_1) like a bad penny |
| 431 | pxor xmm4, xmm7 // c = u_0 v_2 + u_1 v_1 + u_2 v_0 |
| 432 | pclmullqlqdq xmm0, xmm2 // a = u_2 v_2 |
| 433 | pclmulhqhqdq xmm6, xmm1 // u_1 v_0 |
| 434 | pclmulhqlqdq xmm2, xmm1 // u_0 v_1 |
| 435 | pclmullqhqdq xmm1, xmm1 // e = u_0 v_0 |
| 436 | pxor xmm2, xmm6 // d = u_1 v_0 + u_0 v_1 |
| 437 | |
| 438 | // Next, the piecing together of the product. |
| 439 | // xmm0 = // (a_1; a_0) = a = u_2 v_2 |
| 440 | // xmm5 = // (b_1; b_0) = b = u_1 v_2 + u_2 v_1 |
| 441 | // xmm4 = // (c_1; c_0) = c = u_0 v_2 + |
| 442 | // u_1 v_1 + u_2 v_0 |
| 443 | // xmm2 = // (d_1; d_0) = d = u_0 v_1 + u_1 v_0 |
| 444 | // xmm1 = // (e_1; e_0) = e = u_0 v_0 |
| 445 | // xmm3, xmm6, xmm7 spare |
| 446 | movdqa xmm3, xmm2 // (d_1; d_0) again |
| 447 | movdqa xmm6, xmm5 // (b_1; b_0) again |
| 448 | pslldq xmm2, 8 // (0; d_1) |
| 449 | psrldq xmm5, 8 // (b_0; 0) |
| 450 | psrldq xmm3, 8 // (d_0; 0) |
| 451 | pslldq xmm6, 8 // (0; b_1) |
| 452 | pxor xmm5, xmm2 // (b_0; d_1) |
| 453 | pxor xmm0, xmm6 // x_2 = (a_1; a_0 + b_1) |
| 454 | pxor xmm3, xmm1 // x_0 = (e_1 + d_0; e_0) |
| 455 | pxor xmm4, xmm5 // x_1 = (b_0 + c_1; c_0 + d_1) |
| 456 | |
| 457 | // Now, shift it right (from GCM's point of view) by one bit, and try |
| 458 | // to leave the result in less random registers. After this, we'll |
| 459 | // be in GCM bizarro-world. |
| 460 | // xmm1, xmm2, xmm5, xmm6, xmm7 spare |
| 461 | movdqa xmm5, xmm0 // copy x_2 |
| 462 | movdqa xmm1, xmm4 // copy x_1 |
| 463 | movdqa xmm2, xmm3 // copy x_0 |
| 464 | psrld xmm0, 31 // x_2 carries |
| 465 | psrld xmm4, 31 // x_1 carries |
| 466 | psrld xmm3, 31 // x_0 carries |
| 467 | pslld xmm5, 1 // x_2 shifted |
| 468 | pslld xmm1, 1 // x_1 shifted |
| 469 | pslld xmm2, 1 // x_0 shifted |
| 470 | movdqa xmm6, xmm0 // x_2 carry copy |
| 471 | movdqa xmm7, xmm4 // x_1 carry copy |
| 472 | pslldq xmm0, 4 // x_2 carry shifted |
| 473 | pslldq xmm4, 4 // x_1 carry shifted |
| 474 | pslldq xmm3, 4 // x_0 carry shifted |
| 475 | psrldq xmm6, 12 // x_2 carry out |
| 476 | psrldq xmm7, 12 // x_1 carry out |
| 477 | por xmm0, xmm5 // (y_5; y_4) |
| 478 | por xmm1, xmm4 |
| 479 | por xmm2, xmm3 |
| 480 | por xmm1, xmm6 // (y_3; y_2) |
| 481 | por xmm2, xmm7 // (y_1; y_0) |
| 482 | |
| 483 | // Next, the reduction. Our polynomial this time is p(x) = t^192 + |
| 484 | // t^7 + t^2 + t + 1. Yes, the magic numbers are the same as the |
| 485 | // 128-bit case. I don't know why. |
| 486 | |
| 487 | // First, shift the high bits down. |
| 488 | // xmm0 = // (y_5; y_4) |
| 489 | // xmm1 = // (y_3; y_2) |
| 490 | // xmm2 = // (y_1; y_0) |
| 491 | // xmm3--xmm7 spare |
| 492 | movdqa xmm3, xmm0 // (y_5; y_4) copy |
| 493 | movdqa xmm4, xmm0 // (y_5; y_4) copy |
| 494 | movdqa xmm5, xmm0 // (y_5; y_4) copy |
| 495 | pslld xmm3, 31 // (y_5; y_4) b_i for t |
| 496 | pslld xmm4, 30 // (y_5; y_4) b_i for t^2 |
| 497 | pslld xmm5, 25 // (y_5; y_4) b_i for t^7 |
| 498 | movq xmm6, xmm1 // (y_3; 0) copy |
| 499 | pxor xmm3, xmm4 |
| 500 | movq xmm7, xmm1 // (y_3; 0) copy |
| 501 | pxor xmm3, xmm5 |
| 502 | movq xmm5, xmm1 // (y_3; 0) copy |
| 503 | movdqa xmm4, xmm3 // (y_5; y_4) b_i combined |
| 504 | pslld xmm6, 31 // (y_3; 0) b_i for t |
| 505 | pslld xmm7, 30 // (y_3; 0) b_i for t^2 |
| 506 | pslld xmm5, 25 // (y_3; 0) b_i for t^7 |
| 507 | psrldq xmm3, 12 // (y_5; y_4) low contrib |
| 508 | pslldq xmm4, 4 // (y_5; y_4) high contrib |
| 509 | pxor xmm6, xmm7 |
| 510 | pxor xmm2, xmm3 |
| 511 | pxor xmm6, xmm5 |
| 512 | pxor xmm1, xmm4 |
| 513 | pslldq xmm6, 4 |
| 514 | pxor xmm2, xmm6 |
| 515 | |
| 516 | // And finally shift the low bits up. Unfortunately, we also have to |
| 517 | // split the low bits out. |
| 518 | // xmm0 = // (y'_5; y'_4) |
| 519 | // xmm1 = // (y'_3; y'_2) |
| 520 | // xmm2 = // (y'_1; y'_0) |
| 521 | movdqa xmm5, xmm1 // copies of (y'_3; y'_2) |
| 522 | movdqa xmm6, xmm1 |
| 523 | movdqa xmm7, xmm1 |
| 524 | psrldq xmm1, 8 // bring down (y'_2; ?) |
| 525 | movdqa xmm3, xmm0 // copies of (y'_5; y'_4) |
| 526 | movdqa xmm4, xmm0 |
| 527 | punpcklqdq xmm1, xmm2 // (y'_2; y'_1) |
| 528 | psrldq xmm2, 8 // (y'_0; ?) |
| 529 | pxor xmm2, xmm5 // low half and unit contrib |
| 530 | pxor xmm1, xmm0 |
| 531 | psrld xmm5, 1 |
| 532 | psrld xmm0, 1 |
| 533 | psrld xmm6, 2 |
| 534 | psrld xmm3, 2 |
| 535 | psrld xmm7, 7 |
| 536 | psrld xmm4, 7 |
| 537 | pxor xmm2, xmm6 // low half, unit, t^2 contribs |
| 538 | pxor xmm1, xmm3 |
| 539 | pxor xmm5, xmm7 // t and t^7 contribs |
| 540 | pxor xmm0, xmm4 |
| 541 | pxor xmm5, xmm2 // mix everything together |
| 542 | pxor xmm0, xmm1 |
| 543 | movq xmm1, xmm5 // shunt (z_0; ?) into proper place |
| 544 | .endm |
| 545 | |
| 546 | .macro mul256 |
| 547 | // Enter with u and v in xmm0/xmm1 and xmm2/xmm3 respectively; leave |
| 548 | // with z = u v in xmm0/xmm1. Clobbers xmm2--xmm7. On 32-bit x86, |
| 549 | // requires 16 bytes aligned space at SP; on amd64, also clobbers |
| 550 | // xmm8. |
| 551 | |
| 552 | // Now it's starting to look worthwhile to do Karatsuba. Suppose |
| 553 | // u = u_0 + u_1 B and v = v_0 + v_1 B. Then |
| 554 | // |
| 555 | // u v = (u_0 v_0) + (u_0 v_1 + u_1 v_0) B + (u_1 v_1) B^2 |
| 556 | // |
| 557 | // Name these coefficients of B^i be a, b, and c, respectively, and |
| 558 | // let r = u_0 + u_1 and s = v_0 + v_1. Then observe that |
| 559 | // |
| 560 | // q = r s = (u_0 + u_1) (v_0 + v_1) |
| 561 | // = (u_0 v_0) + (u1 v_1) + (u_0 v_1 + u_1 v_0) |
| 562 | // = a + d + c |
| 563 | // |
| 564 | // The first two terms we've already calculated; the last is the |
| 565 | // remaining one we want. We'll set B = t^128. We know how to do |
| 566 | // 128-bit multiplications already, and Karatsuba is too annoying |
| 567 | // there, so there'll be 12 multiplications altogether, rather than |
| 568 | // the 16 we'd have if we did this the naïve way. |
| 569 | // |
| 570 | // On x86, there aren't quite enough registers, so spill one for a |
| 571 | // bit. On AMD64, we can keep on going, so it's all good. |
| 572 | |
| 573 | // xmm0 = // u_1 = (u_11; u_10) |
| 574 | // xmm1 = // u_0 = (u_01; u_00) |
| 575 | // xmm2 = // v_1 = (v_11; v_10) |
| 576 | // xmm3 = // v_0 = (v_01; v_00) |
| 577 | movdqa xmm4, xmm0 // u_1 again |
| 578 | #if CPUFAM_X86 |
| 579 | movdqa [esp + 0], xmm3 |
| 580 | #elif CPUFAM_AMD64 |
| 581 | movdqa xmm8, xmm3 |
| 582 | # define V0 xmm8 |
| 583 | #endif |
| 584 | pxor xmm4, xmm1 // u_* = (u_01 + u_11; u_00 + u_10) |
| 585 | pxor xmm3, xmm2 // v_* = (v_01 + v_11; v_00 + v_10) |
| 586 | |
| 587 | // Start by building the cross product, q = u_* v_*. |
| 588 | movdqa xmm7, xmm4 // more copies of u_* |
| 589 | movdqa xmm5, xmm4 |
| 590 | movdqa xmm6, xmm4 |
| 591 | pclmullqhqdq xmm4, xmm3 // u_*1 v_*0 |
| 592 | pclmulhqlqdq xmm7, xmm3 // u_*0 v_*1 |
| 593 | pclmullqlqdq xmm5, xmm3 // u_*1 v_*1 |
| 594 | pclmulhqhqdq xmm6, xmm3 // u_*0 v_*0 |
| 595 | pxor xmm4, xmm7 // u_*1 v_*0 + u_*0 v_*1 |
| 596 | movdqa xmm7, xmm4 |
| 597 | pslldq xmm4, 8 |
| 598 | psrldq xmm7, 8 |
| 599 | pxor xmm5, xmm4 // q_1 |
| 600 | pxor xmm6, xmm7 // q_0 |
| 601 | |
| 602 | // Next, work on the high half, a = u_1 v_1. |
| 603 | movdqa xmm3, xmm0 // more copies of u_1 |
| 604 | movdqa xmm4, xmm0 |
| 605 | movdqa xmm7, xmm0 |
| 606 | pclmullqhqdq xmm0, xmm2 // u_11 v_10 |
| 607 | pclmulhqlqdq xmm3, xmm2 // u_10 v_11 |
| 608 | pclmullqlqdq xmm4, xmm2 // u_11 v_11 |
| 609 | pclmulhqhqdq xmm7, xmm2 // u_10 v_10 |
| 610 | #if CPUFAM_X86 |
| 611 | movdqa xmm2, [esp + 0] |
| 612 | # define V0 xmm2 |
| 613 | #endif |
| 614 | pxor xmm0, xmm3 // u_10 v_11 + u_11 v_10 |
| 615 | movdqa xmm3, xmm0 |
| 616 | pslldq xmm0, 8 |
| 617 | psrldq xmm3, 8 |
| 618 | pxor xmm4, xmm0 // x_1 = a_1 |
| 619 | pxor xmm7, xmm3 // a_0 |
| 620 | |
| 621 | // Mix that into the product now forming in xmm4--xmm7. |
| 622 | pxor xmm5, xmm4 // a_1 + q_1 |
| 623 | pxor xmm6, xmm7 // a_0 + q_0 |
| 624 | pxor xmm5, xmm7 // a_0 + (a_1 + q_1) |
| 625 | |
| 626 | // Finally, the low half, c = u_0 v_0. |
| 627 | movdqa xmm0, xmm1 // more copies of u_0 |
| 628 | movdqa xmm3, xmm1 |
| 629 | movdqa xmm7, xmm1 |
| 630 | pclmullqhqdq xmm1, V0 // u_01 v_00 |
| 631 | pclmulhqlqdq xmm0, V0 // u_00 v_01 |
| 632 | pclmullqlqdq xmm3, V0 // u_01 v_01 |
| 633 | pclmulhqhqdq xmm7, V0 // u_00 v_00 |
| 634 | pxor xmm0, xmm1 // u_10 v_11 + u_11 v_10 |
| 635 | movdqa xmm1, xmm0 |
| 636 | pslldq xmm0, 8 |
| 637 | psrldq xmm1, 8 |
| 638 | pxor xmm3, xmm0 // c_1 |
| 639 | pxor xmm7, xmm1 // x_0 = c_0 |
| 640 | |
| 641 | // And mix that in to complete the product. |
| 642 | pxor xmm6, xmm3 // (a_0 + q_0) + c_1 |
| 643 | pxor xmm5, xmm3 // x_2 = a_0 + (a_1 + c_1 + q_1) = a_0 + b_1 |
| 644 | pxor xmm6, xmm7 // x_1 = (a_0 + c_0 + q_0) + c_1 = b_0 + c_1 |
| 645 | |
| 646 | #undef V0 |
| 647 | |
| 648 | // Now we need to shift that whole lot one bit to the left. This |
| 649 | // will also give us an opportunity to put the product back in |
| 650 | // xmm0--xmm3. This is a slightly merry dance because it's nearly |
| 651 | // pipelined but we don't have enough registers. |
| 652 | // |
| 653 | // After this, we'll be in GCM bizarro-world. |
| 654 | movdqa xmm0, xmm4 // x_3 again |
| 655 | psrld xmm4, 31 // x_3 carries |
| 656 | pslld xmm0, 1 // x_3 shifted left |
| 657 | movdqa xmm3, xmm4 // x_3 copy carries |
| 658 | movdqa xmm1, xmm5 // x_2 again |
| 659 | pslldq xmm4, 4 // x_3 carries shifted up |
| 660 | psrld xmm5, 31 // x_2 carries |
| 661 | psrldq xmm3, 12 // x_3 big carry out |
| 662 | pslld xmm1, 1 // x_2 shifted left |
| 663 | por xmm0, xmm4 // x_3 mixed together |
| 664 | movdqa xmm4, xmm5 // x_2 copy carries |
| 665 | movdqa xmm2, xmm6 // x_1 again |
| 666 | pslldq xmm5, 4 // x_2 carries shifted up |
| 667 | psrld xmm6, 31 // x_1 carries |
| 668 | psrldq xmm4, 12 // x_2 big carry out |
| 669 | pslld xmm2, 1 // x_1 shifted |
| 670 | por xmm1, xmm5 // x_2 mixed together |
| 671 | movdqa xmm5, xmm6 // x_1 copy carries |
| 672 | por xmm1, xmm3 // x_2 with carry from x_3 |
| 673 | movdqa xmm3, xmm7 // x_0 again |
| 674 | pslldq xmm6, 4 // x_1 carries shifted up |
| 675 | psrld xmm7, 31 // x_2 carries |
| 676 | psrldq xmm5, 12 // x_1 big carry out |
| 677 | pslld xmm3, 1 // x_0 shifted |
| 678 | por xmm2, xmm6 // x_1 mixed together |
| 679 | pslldq xmm7, 4 // x_0 carries shifted up |
| 680 | por xmm2, xmm4 // x_1 with carry from x_2 |
| 681 | por xmm3, xmm7 // x_0 mixed together |
| 682 | por xmm3, xmm5 // x_0 with carry from x_1 |
| 683 | |
| 684 | // Now we must reduce. This is essentially the same as the 128-bit |
| 685 | // case above, but more complicated because everything is bigger. |
| 686 | // The polynomial this time is p(t) = t^256 + t^10 + t^5 + t^2 + 1. |
| 687 | |
| 688 | // First, shift the high bits down. |
| 689 | movdqa xmm4, xmm0 // y_3 again |
| 690 | movdqa xmm5, xmm0 // y_3 yet again |
| 691 | movdqa xmm6, xmm0 // y_3 again again |
| 692 | pslld xmm4, 30 // y_3: b_i for t^2 |
| 693 | pslld xmm5, 27 // y_3: b_i for t^5 |
| 694 | pslld xmm6, 22 // y_3: b_i for t^10 |
| 695 | movdqa xmm7, xmm1 // y_2 again |
| 696 | pxor xmm4, xmm5 |
| 697 | movdqa xmm5, xmm1 // y_2 again |
| 698 | pxor xmm4, xmm6 |
| 699 | movdqa xmm6, xmm1 // y_2 again |
| 700 | pslld xmm7, 30 // y_2: b_i for t^2 |
| 701 | pslld xmm5, 27 // y_2: b_i for t^5 |
| 702 | pslld xmm6, 22 // y_2: b_i for t^10 |
| 703 | pxor xmm7, xmm5 |
| 704 | movdqa xmm5, xmm4 |
| 705 | pxor xmm7, xmm6 |
| 706 | psrldq xmm4, 4 |
| 707 | movdqa xmm6, xmm7 |
| 708 | pslldq xmm5, 12 |
| 709 | psrldq xmm7, 4 |
| 710 | pxor xmm2, xmm4 |
| 711 | pslldq xmm6, 12 |
| 712 | pxor xmm3, xmm7 |
| 713 | pxor xmm1, xmm5 |
| 714 | pxor xmm2, xmm6 |
| 715 | |
| 716 | // And then shift the low bits up. |
| 717 | movdqa xmm4, xmm0 // y_3 again |
| 718 | movdqa xmm5, xmm1 // y_2 again |
| 719 | movdqa xmm6, xmm0 // y_3 yet again |
| 720 | movdqa xmm7, xmm1 // y_2 yet again |
| 721 | pxor xmm2, xmm0 // y_1 and unit contrib from y_3 |
| 722 | pxor xmm3, xmm1 // y_0 and unit contrib from y_2 |
| 723 | psrld xmm0, 2 |
| 724 | psrld xmm1, 2 |
| 725 | psrld xmm4, 5 |
| 726 | psrld xmm5, 5 |
| 727 | psrld xmm6, 10 |
| 728 | psrld xmm7, 10 |
| 729 | pxor xmm0, xmm2 // y_1, with y_3 units and t^2 |
| 730 | pxor xmm1, xmm3 // y_0, with y_2 units and t^2 |
| 731 | pxor xmm4, xmm6 // y_3 t^5 and t^10 contribs |
| 732 | pxor xmm5, xmm7 // y_2 t^5 and t^10 contribs |
| 733 | pxor xmm0, xmm4 // high half of reduced result |
| 734 | pxor xmm1, xmm5 // low half; all done |
| 735 | .endm |
| 736 | |
| 737 | ///-------------------------------------------------------------------------- |
| 738 | /// Main code. |
| 739 | |
| 740 | // There are a number of representations of field elements in this code and |
| 741 | // it can be confusing. |
| 742 | // |
| 743 | // * The `external format' consists of a sequence of contiguous bytes in |
| 744 | // memory called a `block'. The GCM spec explains how to interpret this |
| 745 | // block as an element of a finite field. As discussed extensively, this |
| 746 | // representation is very annoying for a number of reasons. On the other |
| 747 | // hand, this code never actually deals with it directly. |
| 748 | // |
| 749 | // * The `register format' consists of one or more XMM registers, depending |
| 750 | // on the block size. The bytes in these registers are in reverse order |
| 751 | // -- so the least-significant byte of the lowest-numbered register holds |
| 752 | // the /last/ byte in the block. If the block size is not a multiple of |
| 753 | // 16 bytes, then there must be padding. 96-bit blocks are weird: the |
| 754 | // padding is inserted at the /least/ significant end, so the register |
| 755 | // holds (0, x_0; x_1, x_2); otherwise, the padding goes at the most |
| 756 | // significant end. |
| 757 | // |
| 758 | // * The `words' format consists of a sequence of bytes, as in the |
| 759 | // `external format', but, according to the blockcipher in use, the bytes |
| 760 | // within each 32-bit word may be reversed (`big-endian') or not |
| 761 | // (`little-endian'). Accordingly, there are separate entry points for |
| 762 | // each variant, identified with `b' or `l'. |
| 763 | |
| 764 | #define SSEFUNC(f) \ |
| 765 | FUNC(f##_avx); vzeroupper; endprologue; ENDFUNC; \ |
| 766 | FUNC(f) |
| 767 | |
| 768 | SSEFUNC(gcm_mulk_128b_x86ish_pclmul) |
| 769 | // On entry, A points to a 128-bit field element in big-endian words |
| 770 | // format; K points to a field-element in register format. On exit, |
| 771 | // A is updated with the product A K. |
| 772 | |
| 773 | #if CPUFAM_X86 |
| 774 | mov A, [esp + 4] |
| 775 | mov K, [esp + 8] |
| 776 | #endif |
| 777 | endprologue |
| 778 | movdqu xmm0, [A] |
| 779 | movdqu xmm1, [K] |
| 780 | pshufd xmm0, xmm0, SHUF(3, 2, 1, 0) |
| 781 | mul128 |
| 782 | pshufd xmm0, xmm0, SHUF(3, 2, 1, 0) |
| 783 | movdqu [A], xmm0 |
| 784 | ret |
| 785 | ENDFUNC |
| 786 | |
| 787 | SSEFUNC(gcm_mulk_128l_x86ish_pclmul) |
| 788 | // On entry, A points to a 128-bit field element in little-endian |
| 789 | // words format; K points to a field-element in register format. On |
| 790 | // exit, A is updated with the product A K. |
| 791 | |
| 792 | #if CPUFAM_X86 |
| 793 | mov A, [esp + 4] |
| 794 | mov K, [esp + 8] |
| 795 | ldgot ecx |
| 796 | #endif |
| 797 | endprologue |
| 798 | movdqa xmm7, [INTADDR(swaptab_128l, ecx)] |
| 799 | movdqu xmm0, [A] |
| 800 | movdqu xmm1, [K] |
| 801 | pshufb xmm0, xmm7 |
| 802 | mul128 |
| 803 | pshufb xmm0, xmm7 |
| 804 | movdqu [A], xmm0 |
| 805 | ret |
| 806 | ENDFUNC |
| 807 | |
| 808 | SSEFUNC(gcm_mulk_64b_x86ish_pclmul) |
| 809 | // On entry, A points to a 64-bit field element in big-endian words |
| 810 | // format; K points to a field-element in register format. On exit, |
| 811 | // A is updated with the product A K. |
| 812 | |
| 813 | #if CPUFAM_X86 |
| 814 | mov A, [esp + 4] |
| 815 | mov K, [esp + 8] |
| 816 | #endif |
| 817 | endprologue |
| 818 | movq xmm0, [A] |
| 819 | movq xmm1, [K] |
| 820 | pshufd xmm0, xmm0, SHUF(1, 0, 3, 3) |
| 821 | mul64 |
| 822 | pshufd xmm0, xmm0, SHUF(1, 0, 3, 3) |
| 823 | movq [A], xmm0 |
| 824 | ret |
| 825 | ENDFUNC |
| 826 | |
| 827 | SSEFUNC(gcm_mulk_64l_x86ish_pclmul) |
| 828 | // On entry, A points to a 64-bit field element in little-endian |
| 829 | // words format; K points to a field-element in register format. On |
| 830 | // exit, A is updated with the product A K. |
| 831 | |
| 832 | #if CPUFAM_X86 |
| 833 | mov A, [esp + 4] |
| 834 | mov K, [esp + 8] |
| 835 | ldgot ecx |
| 836 | #endif |
| 837 | endprologue |
| 838 | movdqa xmm7, [INTADDR(swaptab_64l, ecx)] |
| 839 | movq xmm0, [A] |
| 840 | movq xmm1, [K] |
| 841 | pshufb xmm0, xmm7 |
| 842 | mul64 |
| 843 | pshufb xmm0, xmm7 |
| 844 | movq [A], xmm0 |
| 845 | ret |
| 846 | ENDFUNC |
| 847 | |
| 848 | SSEFUNC(gcm_mulk_96b_x86ish_pclmul) |
| 849 | // On entry, A points to a 96-bit field element in big-endian words |
| 850 | // format; K points to a field-element in register format (i.e., 16 |
| 851 | // bytes, with the first four bytes zero). On exit, A is updated |
| 852 | // with the product A K. |
| 853 | |
| 854 | #if CPUFAM_X86 |
| 855 | mov A, [esp + 4] |
| 856 | mov K, [esp + 8] |
| 857 | #endif |
| 858 | endprologue |
| 859 | movq xmm0, [A + 0] |
| 860 | movd xmm2, [A + 8] |
| 861 | movdqu xmm1, [K] |
| 862 | punpcklqdq xmm0, xmm2 |
| 863 | pshufd xmm0, xmm0, SHUF(3, 2, 1, 0) |
| 864 | mul96 |
| 865 | pshufd xmm1, xmm0, SHUF(3, 2, 1, 0) |
| 866 | psrldq xmm0, 4 |
| 867 | movq [A + 0], xmm1 |
| 868 | movd [A + 8], xmm0 |
| 869 | ret |
| 870 | ENDFUNC |
| 871 | |
| 872 | SSEFUNC(gcm_mulk_96l_x86ish_pclmul) |
| 873 | // On entry, A points to a 96-bit field element in little-endian |
| 874 | // words format; K points to a field-element in register format |
| 875 | // (i.e., 16 bytes, with the first four bytes zero). On exit, A is |
| 876 | // updated with the product A K. |
| 877 | |
| 878 | #if CPUFAM_X86 |
| 879 | mov A, [esp + 4] |
| 880 | mov K, [esp + 8] |
| 881 | ldgot ecx |
| 882 | #endif |
| 883 | endprologue |
| 884 | movdqa xmm7, [INTADDR(swaptab_128l, ecx)] |
| 885 | movq xmm0, [A + 0] |
| 886 | movd xmm2, [A + 8] |
| 887 | movdqu xmm1, [K] |
| 888 | punpcklqdq xmm0, xmm2 |
| 889 | pshufb xmm0, xmm7 |
| 890 | mul96 |
| 891 | pshufb xmm0, xmm7 |
| 892 | movq [A + 0], xmm0 |
| 893 | psrldq xmm0, 8 |
| 894 | movd [A + 8], xmm0 |
| 895 | ret |
| 896 | ENDFUNC |
| 897 | |
| 898 | SSEFUNC(gcm_mulk_192b_x86ish_pclmul) |
| 899 | // On entry, A points to a 192-bit field element in big-endian words |
| 900 | // format; K points to a field-element in register format. On exit, |
| 901 | // A is updated with the product A K. |
| 902 | |
| 903 | #if CPUFAM_X86 |
| 904 | mov A, [esp + 4] |
| 905 | mov K, [esp + 8] |
| 906 | #endif |
| 907 | #if CPUFAM_AMD64 && ABI_WIN |
| 908 | stalloc 2*16 + 8 |
| 909 | savexmm xmm6, 0 |
| 910 | savexmm xmm7, 16 |
| 911 | #endif |
| 912 | endprologue |
| 913 | movdqu xmm0, [A + 8] |
| 914 | movq xmm1, [A + 0] |
| 915 | movdqu xmm2, [K + 0] |
| 916 | movq xmm3, [K + 16] |
| 917 | pshufd xmm0, xmm0, SHUF(3, 2, 1, 0) |
| 918 | pshufd xmm1, xmm1, SHUF(1, 0, 3, 3) |
| 919 | mul192 |
| 920 | pshufd xmm0, xmm0, SHUF(3, 2, 1, 0) |
| 921 | pshufd xmm1, xmm1, SHUF(1, 0, 3, 3) |
| 922 | movdqu [A + 8], xmm0 |
| 923 | movq [A + 0], xmm1 |
| 924 | #if CPUFAM_AMD64 && ABI_WIN |
| 925 | rstrxmm xmm6, 0 |
| 926 | rstrxmm xmm7, 16 |
| 927 | stfree 2*16 + 8 |
| 928 | #endif |
| 929 | ret |
| 930 | ENDFUNC |
| 931 | |
| 932 | SSEFUNC(gcm_mulk_192l_x86ish_pclmul) |
| 933 | // On entry, A points to a 192-bit field element in little-endian |
| 934 | // words format; K points to a field-element in register format. On |
| 935 | // exit, A is updated with the product A K. |
| 936 | |
| 937 | #if CPUFAM_X86 |
| 938 | mov A, [esp + 4] |
| 939 | mov K, [esp + 8] |
| 940 | ldgot ecx |
| 941 | #endif |
| 942 | #if CPUFAM_AMD64 && ABI_WIN |
| 943 | stalloc 2*16 + 8 |
| 944 | savexmm xmm6, 0 |
| 945 | savexmm xmm7, 16 |
| 946 | #endif |
| 947 | endprologue |
| 948 | movdqu xmm0, [A + 8] |
| 949 | movq xmm1, [A + 0] |
| 950 | movdqu xmm2, [K + 0] |
| 951 | movq xmm3, [K + 16] |
| 952 | pshufb xmm0, [INTADDR(swaptab_128l, ecx)] |
| 953 | pshufb xmm1, [INTADDR(swaptab_64l, ecx)] |
| 954 | mul192 |
| 955 | pshufb xmm0, [INTADDR(swaptab_128l, ecx)] |
| 956 | pshufb xmm1, [INTADDR(swaptab_64l, ecx)] |
| 957 | movdqu [A + 8], xmm0 |
| 958 | movq [A + 0], xmm1 |
| 959 | #if CPUFAM_AMD64 && ABI_WIN |
| 960 | rstrxmm xmm6, 0 |
| 961 | rstrxmm xmm7, 16 |
| 962 | stfree 2*16 + 8 |
| 963 | #endif |
| 964 | ret |
| 965 | ENDFUNC |
| 966 | |
| 967 | SSEFUNC(gcm_mulk_256b_x86ish_pclmul) |
| 968 | // On entry, A points to a 256-bit field element in big-endian words |
| 969 | // format; K points to a field-element in register format. On exit, |
| 970 | // A is updated with the product A K. |
| 971 | |
| 972 | #if CPUFAM_X86 |
| 973 | pushreg ebp |
| 974 | setfp |
| 975 | mov A, [esp + 8] |
| 976 | mov K, [esp + 12] |
| 977 | and esp, ~15 |
| 978 | sub esp, 16 |
| 979 | #endif |
| 980 | #if CPUFAM_AMD64 && ABI_WIN |
| 981 | stalloc 3*16 + 8 |
| 982 | savexmm xmm6, 0 |
| 983 | savexmm xmm7, 16 |
| 984 | savexmm xmm8, 32 |
| 985 | #endif |
| 986 | endprologue |
| 987 | movdqu xmm0, [A + 16] |
| 988 | movdqu xmm1, [A + 0] |
| 989 | movdqu xmm2, [K + 0] |
| 990 | movdqu xmm3, [K + 16] |
| 991 | pshufd xmm0, xmm0, SHUF(3, 2, 1, 0) |
| 992 | pshufd xmm1, xmm1, SHUF(3, 2, 1, 0) |
| 993 | mul256 |
| 994 | pshufd xmm0, xmm0, SHUF(3, 2, 1, 0) |
| 995 | pshufd xmm1, xmm1, SHUF(3, 2, 1, 0) |
| 996 | movdqu [A + 16], xmm0 |
| 997 | movdqu [A + 0], xmm1 |
| 998 | #if CPUFAM_X86 |
| 999 | dropfp |
| 1000 | popreg ebp |
| 1001 | #endif |
| 1002 | #if CPUFAM_AMD64 && ABI_WIN |
| 1003 | rstrxmm xmm6, 0 |
| 1004 | rstrxmm xmm7, 16 |
| 1005 | rstrxmm xmm8, 32 |
| 1006 | stfree 3*16 + 8 |
| 1007 | #endif |
| 1008 | ret |
| 1009 | ENDFUNC |
| 1010 | |
| 1011 | SSEFUNC(gcm_mulk_256l_x86ish_pclmul) |
| 1012 | // On entry, A points to a 256-bit field element in little-endian |
| 1013 | // words format; K points to a field-element in register format. On |
| 1014 | // exit, A is updated with the product A K. |
| 1015 | |
| 1016 | #if CPUFAM_X86 |
| 1017 | pushreg ebp |
| 1018 | setfp |
| 1019 | mov A, [esp + 8] |
| 1020 | mov K, [esp + 12] |
| 1021 | and esp, ~15 |
| 1022 | ldgot ecx |
| 1023 | sub esp, 16 |
| 1024 | #endif |
| 1025 | #if CPUFAM_AMD64 && ABI_WIN |
| 1026 | stalloc 3*16 + 8 |
| 1027 | savexmm xmm6, 0 |
| 1028 | savexmm xmm7, 16 |
| 1029 | savexmm xmm8, 32 |
| 1030 | #endif |
| 1031 | endprologue |
| 1032 | movdqa xmm7, [INTADDR(swaptab_128l, ecx)] |
| 1033 | movdqu xmm0, [A + 16] |
| 1034 | movdqu xmm1, [A + 0] |
| 1035 | movdqu xmm2, [K + 0] |
| 1036 | movdqu xmm3, [K + 16] |
| 1037 | pshufb xmm0, xmm7 |
| 1038 | pshufb xmm1, xmm7 |
| 1039 | mul256 |
| 1040 | movdqa xmm7, [INTADDR(swaptab_128l, ecx)] |
| 1041 | pshufb xmm0, xmm7 |
| 1042 | pshufb xmm1, xmm7 |
| 1043 | movdqu [A + 16], xmm0 |
| 1044 | movdqu [A + 0], xmm1 |
| 1045 | #if CPUFAM_X86 |
| 1046 | dropfp |
| 1047 | popreg ebp |
| 1048 | #endif |
| 1049 | #if CPUFAM_AMD64 && ABI_WIN |
| 1050 | rstrxmm xmm6, 0 |
| 1051 | rstrxmm xmm7, 16 |
| 1052 | rstrxmm xmm8, 32 |
| 1053 | stfree 3*16 + 8 |
| 1054 | #endif |
| 1055 | ret |
| 1056 | ENDFUNC |
| 1057 | |
| 1058 | RODATA |
| 1059 | |
| 1060 | .balign 16 |
| 1061 | swaptab_128l: |
| 1062 | // Table for byte-swapping little-endian words-format blocks larger |
| 1063 | // than 64 bits. |
| 1064 | .byte 15, 14, 13, 12, 11, 10, 9, 8 |
| 1065 | .byte 7, 6, 5, 4, 3, 2, 1, 0 |
| 1066 | |
| 1067 | .balign 16 |
| 1068 | swaptab_64l: |
| 1069 | // Table for byte-swapping 64-bit little-endian words-format blocks. |
| 1070 | .byte 7, 6, 5, 4, 3, 2, 1, 0 |
| 1071 | .byte 255, 255, 255, 255, 255, 255, 255, 255 |
| 1072 | |
| 1073 | ///----- That's all, folks -------------------------------------------------- |